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Finding the Fourth Proportional to 171,907,584.80, 257,294,506.80 and 120,889,248.80

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Solution

The fourth proportional to 171,907,584.80, 257,294,506.80 and 120,889,248.80 is: 180,935,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,907,584.80 : 257,294,506.80 = 120,889,248.80 : x
  2. Step 2: Convert to fraction form
    171,907,584.80/257,294,506.80 = 120,889,248.80/x
  3. Step 3: Cross multiply
    171,907,584.80x = 257,294,506.80 × 120,889,248.80
  4. Step 4: Simplify right side
    171,907,584.80x = 31,104,139,647,418,492
  5. Step 5: Solve for x
    x = 31,104,139,647,418,492/171,907,584.80
  6. Step 6: Final answer
    x = 180,935,237.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.